Home / 1,565.18-2,159.95-975.72

Finding the Fourth Proportional to 1,565.18, 2,159.95 and 975.72

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Solution

The fourth proportional to 1,565.18, 2,159.95 and 975.72 is: 1,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.18 : 2,159.95 = 975.72 : x
  2. Step 2: Convert to fraction form
    1,565.18/2,159.95 = 975.72/x
  3. Step 3: Cross multiply
    1,565.18x = 2,159.95 × 975.72
  4. Step 4: Simplify right side
    1,565.18x = 2,107,495.87
  5. Step 5: Solve for x
    x = 2,107,495.87/1,565.18
  6. Step 6: Final answer
    x = 1,346.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.